2016/10/15 by Hendrik De Bie, Vincent X. Genest, De Bie, Hendrik +5
Mathematics · #20G05 #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT #msc:20G05
paper · pdf · doi:10.48550/arxiv.1610.04797
Contribution to the proceedings of Group 31, Rio de Janeiro, June 2016; based on a talk by Luc Vinet at this conference; slightly revised version
arxiv created 2016/12/03 · arxiv updated 2016/12/06
The Bannai-Ito algebra B(n) of rank (n-2) is defined as the algebra generated by the Casimir operators arising in the n-fold tensor product of the osp(1,2) superalgebra. The structure relations are presented and representations in bases determined by maximal Abelian subalgebras are discussed. Comments on realizations as symmetry algebras of physical models are offered.